2.2.2 Integrals 101 to 200

Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.

In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA

Problem 101

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 91 48 59 0 74 0 0 116

N.S.

1 1.06 0.56 0.69 0.00 0.86 0.00 0.00 1.35

time (sec)

N/A 0.455 0.137 0.805 0.000 0.272 0.000 0.000 17.185

Problem 102

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

59 59 38 44 0 61 0 0 111

N.S.

1 1.00 0.64 0.75 0.00 1.03 0.00 0.00 1.88

time (sec)

N/A 0.319 0.097 0.887 0.000 0.267 0.000 0.000 1.246

Problem 103

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B A F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

66 66 75 160 997 235 0 0 0

N.S.

1 1.00 1.14 2.42 15.11 3.56 0.00 0.00 0.00

time (sec)

N/A 0.292 0.274 1.293 0.416 0.292 0.000 0.000 0.000

Problem 104

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B A F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

65 94 82 168 803 248 0 0 0

N.S.

1 1.45 1.26 2.58 12.35 3.82 0.00 0.00 0.00

time (sec)

N/A 0.459 0.226 23.595 0.440 0.287 0.000 0.000 0.000

Problem 105

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F(-1) A F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

106 104 108 186 0 278 0 0 0

N.S.

1 0.98 1.02 1.75 0.00 2.62 0.00 0.00 0.00

time (sec)

N/A 0.495 0.383 23.843 0.000 0.281 0.000 0.000 0.000

Problem 106

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F(-1) A F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

144 145 120 202 0 300 0 0 0

N.S.

1 1.01 0.83 1.40 0.00 2.08 0.00 0.00 0.00

time (sec)

N/A 0.672 0.546 26.059 0.000 0.296 0.000 0.000 0.000

Problem 107

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F(-1) A F(-1) F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

203 226 80 95 0 121 0 0 542

N.S.

1 1.11 0.39 0.47 0.00 0.60 0.00 0.00 2.67

time (sec)

N/A 1.157 0.228 145.824 0.000 0.279 0.000 0.000 24.757

Problem 108

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

146 165 70 85 0 108 0 0 456

N.S.

1 1.13 0.48 0.58 0.00 0.74 0.00 0.00 3.12

time (sec)

N/A 0.839 0.478 47.744 0.000 0.270 0.000 0.000 21.984

Problem 109

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

116 125 60 75 0 95 0 0 349

N.S.

1 1.08 0.52 0.65 0.00 0.82 0.00 0.00 3.01

time (sec)

N/A 0.615 0.189 5.284 0.000 0.264 0.000 0.000 17.263

Problem 110

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

89 93 50 62 0 82 0 0 146

N.S.

1 1.04 0.56 0.70 0.00 0.92 0.00 0.00 1.64

time (sec)

N/A 0.446 0.101 1.906 0.000 0.271 0.000 0.000 17.419

Problem 111

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B B A F F F(-1)

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

98 102 360 172 1395 310 0 0 0

N.S.

1 1.04 3.67 1.76 14.23 3.16 0.00 0.00 0.00

time (sec)

N/A 0.526 6.448 1.530 0.542 0.294 0.000 0.000 0.000

Problem 112

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B A F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

94 97 82 178 1383 276 0 0 0

N.S.

1 1.03 0.87 1.89 14.71 2.94 0.00 0.00 0.00

time (sec)

N/A 0.492 0.348 32.647 0.545 0.285 0.000 0.000 0.000

Problem 113

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F(-1) A F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

106 108 150 188 0 294 0 0 0

N.S.

1 1.02 1.42 1.77 0.00 2.77 0.00 0.00 0.00

time (sec)

N/A 0.527 0.567 58.659 0.000 0.290 0.000 0.000 0.000

Problem 114

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-1) A F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

144 148 151 204 0 320 0 0 0

N.S.

1 1.03 1.05 1.42 0.00 2.22 0.00 0.00 0.00

time (sec)

N/A 0.723 0.839 157.072 0.000 0.290 0.000 0.000 0.000

Problem 115

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-1) A F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

182 189 161 220 0 346 0 0 0

N.S.

1 1.04 0.88 1.21 0.00 1.90 0.00 0.00 0.00

time (sec)

N/A 0.914 0.820 0.939 0.000 0.299 0.000 0.000 0.000

Problem 116

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 27 30 35 0 44 0 57 36

N.S.

1 1.00 1.11 1.30 0.00 1.63 0.00 2.11 1.33

time (sec)

N/A 0.212 0.179 0.855 0.000 0.265 0.000 0.559 13.589

Problem 117

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B B B F B F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 38 85 73 146 182 0 65 0

N.S.

1 1.00 2.24 1.92 3.84 4.79 0.00 1.71 0.00

time (sec)

N/A 0.205 0.621 0.899 0.423 0.301 0.000 0.563 0.000

Problem 118

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F B F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

65 65 77 82 791 294 0 134 0

N.S.

1 1.00 1.18 1.26 12.17 4.52 0.00 2.06 0.00

time (sec)

N/A 0.338 0.315 22.382 0.478 0.324 0.000 0.420 0.000

Problem 119

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

140 154 106 193 0 347 0 150 0

N.S.

1 1.10 0.76 1.38 0.00 2.48 0.00 1.07 0.00

time (sec)

N/A 0.795 0.227 1.220 0.000 0.305 0.000 1.037 0.000

Problem 120

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

104 112 86 155 0 316 0 113 0

N.S.

1 1.08 0.83 1.49 0.00 3.04 0.00 1.09 0.00

time (sec)

N/A 0.518 0.157 1.052 0.000 0.306 0.000 1.003 0.000

Problem 121

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

73 73 83 112 0 262 0 108 0

N.S.

1 1.00 1.14 1.53 0.00 3.59 0.00 1.48 0.00

time (sec)

N/A 0.340 0.088 0.970 0.000 0.299 0.000 0.993 0.000

Problem 122

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

46 46 64 93 0 158 0 59 0

N.S.

1 1.00 1.39 2.02 0.00 3.43 0.00 1.28 0.00

time (sec)

N/A 0.221 0.056 0.879 0.000 0.306 0.000 0.653 0.000

Problem 123

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C A F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

85 85 130 136 698 294 0 0 0

N.S.

1 1.00 1.53 1.60 8.21 3.46 0.00 0.00 0.00

time (sec)

N/A 0.418 0.799 0.862 0.682 0.308 0.000 0.000 0.000

Problem 124

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F B F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

108 109 105 175 0 417 0 326 0

N.S.

1 1.01 0.97 1.62 0.00 3.86 0.00 3.02 0.00

time (sec)

N/A 0.519 0.140 23.940 0.000 0.309 0.000 1.013 0.000

Problem 125

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F A F B F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

147 159 118 343 0 446 0 423 0

N.S.

1 1.08 0.80 2.33 0.00 3.03 0.00 2.88 0.00

time (sec)

N/A 0.849 0.274 25.804 0.000 0.342 0.000 1.015 0.000

Problem 126

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

183 199 124 215 0 414 0 210 0

N.S.

1 1.09 0.68 1.17 0.00 2.26 0.00 1.15 0.00

time (sec)

N/A 1.065 0.439 1.190 0.000 0.318 0.000 1.004 0.000

Problem 127

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

145 154 114 193 0 387 0 179 0

N.S.

1 1.06 0.79 1.33 0.00 2.67 0.00 1.23 0.00

time (sec)

N/A 0.787 0.327 0.979 0.000 0.299 0.000 1.185 0.000

Problem 128

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

105 109 104 145 0 336 0 157 0

N.S.

1 1.04 0.99 1.38 0.00 3.20 0.00 1.50 0.00

time (sec)

N/A 0.525 0.332 0.964 0.000 0.330 0.000 1.150 0.000

Problem 129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

77 77 94 149 0 329 0 108 0

N.S.

1 1.00 1.22 1.94 0.00 4.27 0.00 1.40 0.00

time (sec)

N/A 0.378 0.210 0.847 0.000 0.306 0.000 1.035 0.000

Problem 130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

77 77 93 149 0 327 0 108 0

N.S.

1 1.00 1.21 1.94 0.00 4.25 0.00 1.40 0.00

time (sec)

N/A 0.341 0.120 0.858 0.000 0.327 0.000 0.745 0.000

Problem 131

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

114 120 181 199 0 491 0 47 0

N.S.

1 1.05 1.59 1.75 0.00 4.31 0.00 0.41 0.00

time (sec)

N/A 0.546 2.615 0.913 0.000 0.340 0.000 0.509 0.000

Problem 132

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F A F B F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

144 152 129 450 0 518 0 387 0

N.S.

1 1.06 0.90 3.12 0.00 3.60 0.00 2.69 0.00

time (sec)

N/A 0.812 0.850 26.794 0.000 0.342 0.000 1.165 0.000

Problem 133

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F A F B F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

185 200 177 511 0 536 0 473 0

N.S.

1 1.08 0.96 2.76 0.00 2.90 0.00 2.56 0.00

time (sec)

N/A 1.133 1.741 22.391 0.000 0.388 0.000 1.757 0.000

Problem 134

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

183 199 135 215 0 455 0 219 0

N.S.

1 1.09 0.74 1.17 0.00 2.49 0.00 1.20 0.00

time (sec)

N/A 1.090 1.353 1.119 0.000 0.306 0.000 1.097 0.000

Problem 135

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

145 155 125 168 0 404 0 188 0

N.S.

1 1.07 0.86 1.16 0.00 2.79 0.00 1.30 0.00

time (sec)

N/A 0.822 0.868 1.107 0.000 0.299 0.000 1.047 0.000

Problem 136

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

107 113 116 197 0 403 0 139 0

N.S.

1 1.06 1.08 1.84 0.00 3.77 0.00 1.30 0.00

time (sec)

N/A 0.541 0.677 1.093 0.000 0.313 0.000 1.148 0.000

Problem 137

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

107 112 115 192 0 399 0 139 0

N.S.

1 1.05 1.07 1.79 0.00 3.73 0.00 1.30 0.00

time (sec)

N/A 0.485 0.663 0.851 0.000 0.300 0.000 1.200 0.000

Problem 138

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F B F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

107 112 52 192 0 403 0 139 0

N.S.

1 1.05 0.49 1.79 0.00 3.77 0.00 1.30 0.00

time (sec)

N/A 0.468 0.068 0.965 0.000 0.325 0.000 0.858 0.000

Problem 139

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B F A F(-1)

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

144 156 211 247 0 585 0 78 0

N.S.

1 1.08 1.47 1.72 0.00 4.06 0.00 0.54 0.00

time (sec)

N/A 0.729 6.453 1.014 0.000 0.388 0.000 0.655 0.000

Problem 140

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F A F B F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

174 190 169 473 0 606 0 424 0

N.S.

1 1.09 0.97 2.72 0.00 3.48 0.00 2.44 0.00

time (sec)

N/A 1.093 1.964 22.851 0.000 0.380 0.000 1.259 0.000

Problem 141

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

48 48 62 83 0 161 0 67 0

N.S.

1 1.00 1.29 1.73 0.00 3.35 0.00 1.40 0.00

time (sec)

N/A 0.230 0.192 0.942 0.000 0.316 0.000 0.366 0.000

Problem 142

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A C A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

87 87 127 109 698 301 0 69 0

N.S.

1 1.00 1.46 1.25 8.02 3.46 0.00 0.79 0.00

time (sec)

N/A 0.395 0.739 0.886 0.929 0.282 0.000 0.566 0.000

Problem 143

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

383 421 105 0 0 0 0 0 0

N.S.

1 1.10 0.27 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.791 0.281 0.000 0.000 0.000 0.000 0.000 0.000

Problem 144

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

353 381 85 0 0 0 0 0 0

N.S.

1 1.08 0.24 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.586 0.139 0.000 0.000 0.000 0.000 0.000 0.000

Problem 145

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

326 351 66 0 0 0 0 0 0

N.S.

1 1.08 0.20 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.431 0.057 0.000 0.000 0.000 0.000 0.000 0.000

Problem 146

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B F F F(-1) F F F(-1)

verified

N/A Yes No N/A TBD TBD TBD TBD TBD

size

77 77 691 0 0 0 0 0 0

N.S.

1 1.00 8.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.330 5.215 0.000 0.000 0.000 0.000 0.000 0.000

Problem 147

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B F F F(-1) F F F(-1)

verified

N/A Yes No N/A TBD TBD TBD TBD TBD

size

77 77 2700 0 0 0 0 0 0

N.S.

1 1.00 35.06 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.386 16.050 0.000 0.000 0.000 0.000 0.000 0.000

Problem 148

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F F(-1) F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

413 458 96 0 0 0 0 0 0

N.S.

1 1.11 0.23 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.794 0.367 0.000 0.000 0.000 0.000 0.000 0.000

Problem 149

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

383 417 106 0 0 0 0 0 0

N.S.

1 1.09 0.28 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.575 0.482 0.000 0.000 0.000 0.000 0.000 0.000

Problem 150

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

356 387 66 0 0 0 0 0 0

N.S.

1 1.09 0.19 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.434 0.095 0.000 0.000 0.000 0.000 0.000 0.000

Problem 151

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B F F F(-1) F F F(-1)

verified

N/A Yes No N/A TBD TBD TBD TBD TBD

size

86 86 2694 0 0 0 0 0 0

N.S.

1 1.00 31.33 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.329 15.934 0.000 0.000 0.000 0.000 0.000 0.000

Problem 152

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B F F F(-1) F(-1) F F(-1)

verified

N/A Yes No N/A TBD TBD TBD TBD TBD

size

86 86 2700 0 0 0 0 0 0

N.S.

1 1.00 31.40 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.398 16.010 0.000 0.000 0.000 0.000 0.000 0.000

Problem 153

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

371 390 155 0 0 0 0 0 0

N.S.

1 1.05 0.42 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.047 0.399 0.000 0.000 0.000 0.000 0.000 0.000

Problem 154

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

336 346 95 0 0 0 0 0 0

N.S.

1 1.03 0.28 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.752 0.205 0.000 0.000 0.000 0.000 0.000 0.000

Problem 155

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

306 306 85 0 0 0 0 0 0

N.S.

1 1.00 0.28 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.553 0.120 0.000 0.000 0.000 0.000 0.000 0.000

Problem 156

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

276 276 65 0 0 0 0 0 0

N.S.

1 1.00 0.24 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.414 0.070 0.000 0.000 0.000 0.000 0.000 0.000

Problem 157

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B F F F(-1) F F F(-1)

verified

N/A Yes No N/A TBD TBD TBD TBD TBD

size

75 75 718 0 0 0 0 0 0

N.S.

1 1.00 9.57 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.327 4.781 0.000 0.000 0.000 0.000 0.000 0.000

Problem 158

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B F F F(-1) F F F(-1)

verified

N/A Yes No N/A TBD TBD TBD TBD TBD

size

75 75 240 0 0 0 0 0 0

N.S.

1 1.00 3.20 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.381 1.896 0.000 0.000 0.000 0.000 0.000 0.000

Problem 159

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F F F F(-1)

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

766 781 111 0 0 0 0 0 0

N.S.

1 1.02 0.14 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.370 0.594 0.000 0.000 0.000 0.000 0.000 0.000

Problem 160

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F F F F(-1)

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

731 734 98 0 0 0 0 0 0

N.S.

1 1.00 0.13 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.989 0.291 0.000 0.000 0.000 0.000 0.000 0.000

Problem 161

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F F F F(-1)

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

731 736 90 0 0 0 0 0 0

N.S.

1 1.01 0.12 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.813 0.344 0.000 0.000 0.000 0.000 0.000 0.000

Problem 162

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F F F F(-1)

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

744 741 68 0 0 0 0 0 0

N.S.

1 1.00 0.09 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.693 0.072 0.000 0.000 0.000 0.000 0.000 0.000

Problem 163

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B F F F(-1) F F F(-1)

verified

N/A No No N/A TBD TBD TBD TBD TBD

size

90 100 3007 0 0 0 0 0 0

N.S.

1 1.11 33.41 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.350 17.580 0.000 0.000 0.000 0.000 0.000 0.000

Problem 164

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B F F F(-1) F F F(-1)

verified

N/A No No N/A TBD TBD TBD TBD TBD

size

90 100 3011 0 0 0 0 0 0

N.S.

1 1.11 33.46 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.423 16.202 0.000 0.000 0.000 0.000 0.000 0.000

Problem 165

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F C F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

151 153 115 384 0 188 0 0 0

N.S.

1 1.01 0.76 2.54 0.00 1.25 0.00 0.00 0.00

time (sec)

N/A 0.644 0.437 24.592 0.000 0.121 0.000 0.000 0.000

Problem 166

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

123 125 83 368 0 167 0 0 0

N.S.

1 1.02 0.67 2.99 0.00 1.36 0.00 0.00 0.00

time (sec)

N/A 0.504 0.333 19.537 0.000 0.110 0.000 0.000 0.000

Problem 167

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

97 98 68 148 0 124 0 0 0

N.S.

1 1.01 0.70 1.53 0.00 1.28 0.00 0.00 0.00

time (sec)

N/A 0.458 0.258 15.668 0.000 0.095 0.000 0.000 0.000

Problem 168

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 75 49 150 0 107 0 0 0

N.S.

1 1.00 0.65 2.00 0.00 1.43 0.00 0.00 0.00

time (sec)

N/A 0.366 0.187 12.253 0.000 0.097 0.000 0.000 0.000

Problem 169

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

101 102 73 225 0 125 0 0 0

N.S.

1 1.01 0.72 2.23 0.00 1.24 0.00 0.00 0.00

time (sec)

N/A 0.464 0.257 18.041 0.000 0.099 0.000 0.000 0.000

Problem 170

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

127 129 93 219 0 145 0 0 0

N.S.

1 1.02 0.73 1.72 0.00 1.14 0.00 0.00 0.00

time (sec)

N/A 0.497 0.316 16.012 0.000 0.099 0.000 0.000 0.000

Problem 171

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

151 157 103 270 0 156 0 0 0

N.S.

1 1.04 0.68 1.79 0.00 1.03 0.00 0.00 0.00

time (sec)

N/A 0.620 0.458 19.473 0.000 0.102 0.000 0.000 0.000

Problem 172

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F C F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

187 187 287 439 0 215 0 0 0

N.S.

1 1.00 1.53 2.35 0.00 1.15 0.00 0.00 0.00

time (sec)

N/A 1.016 3.224 36.247 0.000 0.103 0.000 0.000 0.000

Problem 173

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F C F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

161 159 269 386 0 202 0 0 0

N.S.

1 0.99 1.67 2.40 0.00 1.25 0.00 0.00 0.00

time (sec)

N/A 0.855 2.063 26.277 0.000 0.103 0.000 0.000 0.000

Problem 174

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 131 264 371 0 179 0 0 0

N.S.

1 1.00 2.02 2.83 0.00 1.37 0.00 0.00 0.00

time (sec)

N/A 0.729 1.712 18.735 0.000 0.097 0.000 0.000 0.000

Problem 175

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

64 64 48 185 0 77 0 0 0

N.S.

1 1.00 0.75 2.89 0.00 1.20 0.00 0.00 0.00

time (sec)

N/A 0.427 1.028 14.961 0.000 0.102 0.000 0.000 0.000

Problem 176

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

107 107 156 228 0 134 0 0 0

N.S.

1 1.00 1.46 2.13 0.00 1.25 0.00 0.00 0.00

time (sec)

N/A 0.602 1.605 15.163 0.000 0.100 0.000 0.000 0.000

Problem 177

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

135 135 136 250 0 157 0 0 0

N.S.

1 1.00 1.01 1.85 0.00 1.16 0.00 0.00 0.00

time (sec)

N/A 0.743 1.997 19.771 0.000 0.107 0.000 0.000 0.000

Problem 178

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

161 163 149 272 0 170 0 0 0

N.S.

1 1.01 0.93 1.69 0.00 1.06 0.00 0.00 0.00

time (sec)

N/A 0.855 2.328 24.691 0.000 0.110 0.000 0.000 0.000

Problem 179

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F C F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

187 187 287 439 0 215 0 0 0

N.S.

1 1.00 1.53 2.35 0.00 1.15 0.00 0.00 0.00

time (sec)

N/A 0.403 3.450 38.063 0.000 0.121 0.000 0.000 0.000

Problem 180

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F C F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

157 157 267 386 0 200 0 0 0

N.S.

1 1.00 1.70 2.46 0.00 1.27 0.00 0.00 0.00

time (sec)

N/A 0.372 3.065 29.166 0.000 0.110 0.000 0.000 0.000

Problem 181

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 131 187 371 0 179 0 0 0

N.S.

1 1.00 1.43 2.83 0.00 1.37 0.00 0.00 0.00

time (sec)

N/A 0.348 2.535 22.083 0.000 0.107 0.000 0.000 0.000

Problem 182

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 131 169 172 0 148 0 0 0

N.S.

1 1.00 1.29 1.31 0.00 1.13 0.00 0.00 0.00

time (sec)

N/A 0.337 2.311 20.019 0.000 0.101 0.000 0.000 0.000

Problem 183

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 131 171 250 0 156 0 0 0

N.S.

1 1.00 1.31 1.91 0.00 1.19 0.00 0.00 0.00

time (sec)

N/A 0.340 2.132 18.329 0.000 0.103 0.000 0.000 0.000

Problem 184

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

161 161 146 272 0 170 0 0 0

N.S.

1 1.00 0.91 1.69 0.00 1.06 0.00 0.00 0.00

time (sec)

N/A 0.372 2.452 25.944 0.000 0.111 0.000 0.000 0.000

Problem 185

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

187 187 156 260 0 183 0 0 0

N.S.

1 1.00 0.83 1.39 0.00 0.98 0.00 0.00 0.00

time (sec)

N/A 0.396 3.070 34.230 0.000 0.112 0.000 0.000 0.000

Problem 186

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F(-1) C F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

213 213 289 492 0 228 0 0 0

N.S.

1 1.00 1.36 2.31 0.00 1.07 0.00 0.00 0.00

time (sec)

N/A 0.466 7.608 48.240 0.000 0.117 0.000 0.000 0.000

Problem 187

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F C F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

187 187 279 439 0 215 0 0 0

N.S.

1 1.00 1.49 2.35 0.00 1.15 0.00 0.00 0.00

time (sec)

N/A 0.423 5.842 38.788 0.000 0.109 0.000 0.000 0.000

Problem 188

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F C F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

161 161 286 386 0 202 0 0 0

N.S.

1 1.00 1.78 2.40 0.00 1.25 0.00 0.00 0.00

time (sec)

N/A 0.388 6.152 32.193 0.000 0.113 0.000 0.000 0.000

Problem 189

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

118 118 70 292 0 121 0 0 0

N.S.

1 1.00 0.59 2.47 0.00 1.03 0.00 0.00 0.00

time (sec)

N/A 0.359 2.966 24.692 0.000 0.106 0.000 0.000 0.000

Problem 190

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

159 159 184 194 0 162 0 0 0

N.S.

1 1.00 1.16 1.22 0.00 1.02 0.00 0.00 0.00

time (sec)

N/A 0.379 4.029 27.478 0.000 0.117 0.000 0.000 0.000

Problem 191

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

161 161 180 272 0 170 0 0 0

N.S.

1 1.00 1.12 1.69 0.00 1.06 0.00 0.00 0.00

time (sec)

N/A 0.384 3.929 25.629 0.000 0.116 0.000 0.000 0.000

Problem 192

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

187 187 156 260 0 183 0 0 0

N.S.

1 1.00 0.83 1.39 0.00 0.98 0.00 0.00 0.00

time (sec)

N/A 0.413 4.217 37.333 0.000 0.115 0.000 0.000 0.000

Problem 193

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

213 213 306 273 0 196 0 0 0

N.S.

1 1.00 1.44 1.28 0.00 0.92 0.00 0.00 0.00

time (sec)

N/A 0.456 6.021 45.271 0.000 0.119 0.000 0.000 0.000

Problem 194

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F C F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

164 168 291 413 0 248 0 0 0

N.S.

1 1.02 1.77 2.52 0.00 1.51 0.00 0.00 0.00

time (sec)

N/A 0.714 4.229 10.854 0.000 0.103 0.000 0.000 0.000

Problem 195

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

136 140 262 253 0 196 0 0 0

N.S.

1 1.03 1.93 1.86 0.00 1.44 0.00 0.00 0.00

time (sec)

N/A 0.675 2.598 7.785 0.000 0.100 0.000 0.000 0.000

Problem 196

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 116 201 200 0 184 0 0 0

N.S.

1 1.05 1.83 1.82 0.00 1.67 0.00 0.00 0.00

time (sec)

N/A 0.571 1.415 3.937 0.000 0.107 0.000 0.000 0.000

Problem 197

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 115 202 198 0 184 0 0 0

N.S.

1 1.05 1.84 1.80 0.00 1.67 0.00 0.00 0.00

time (sec)

N/A 0.530 1.050 5.028 0.000 0.101 0.000 0.000 0.000

Problem 198

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

112 116 317 199 0 186 0 0 0

N.S.

1 1.04 2.83 1.78 0.00 1.66 0.00 0.00 0.00

time (sec)

N/A 0.548 2.279 5.837 0.000 0.113 0.000 0.000 0.000

Problem 199

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

140 144 318 215 0 207 0 0 0

N.S.

1 1.03 2.27 1.54 0.00 1.48 0.00 0.00 0.00

time (sec)

N/A 0.703 4.957 6.577 0.000 0.104 0.000 0.000 0.000

Problem 200

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

168 172 347 229 0 217 0 0 0

N.S.

1 1.02 2.07 1.36 0.00 1.29 0.00 0.00 0.00

time (sec)

N/A 0.777 3.343 6.965 0.000 0.110 0.000 0.000 0.000